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Finding the Fourth Proportional to 7,769.97, 11,656.11 and 3,610.41

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Solution

The fourth proportional to 7,769.97, 11,656.11 and 3,610.41 is: 5,416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.97 : 11,656.11 = 3,610.41 : x
  2. Step 2: Convert to fraction form
    7,769.97/11,656.11 = 3,610.41/x
  3. Step 3: Cross multiply
    7,769.97x = 11,656.11 × 3,610.41
  4. Step 4: Simplify right side
    7,769.97x = 42,083,336.11
  5. Step 5: Solve for x
    x = 42,083,336.11/7,769.97
  6. Step 6: Final answer
    x = 5,416.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.